\left\{\begin{array}{ccc}y=3x+2\\3x-y=2\end{array}\right\\\\substitute\\\\3x-(3x+2)=2\\3x-3x-2=2\\-2=2-FALSE\\\\Answer:No\ solution
y = 3 x + 2 3 x − y = 2 3 x − ( 3 x + 2 ) = 2 3 x − 3 x − 2 = 2 − 2 = 2 x ∈ ∅ ⇒ y ∈ ∅
The system of equations has no solution because substituting y = 3 x + 2 into the second equation leads to a contradiction. Therefore, there are no values of x and y that satisfy both equations simultaneously.
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